SOLUTION: A cattle train left Miami and traveld toward New York. 14 hours later a diesel train left traveling at 45km/h in an effort to catch up to the cattle train. After traveling for four

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Question 420325: A cattle train left Miami and traveld toward New York. 14 hours later a diesel train left traveling at 45km/h in an effort to catch up to the cattle train. After traveling for four hours the diessel train finally caught up. What was the cattle train's average speed?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = the cattle train's average speed
How much of a head start does the cattle train have?
head start = +s%2A14+
Start a stopwatch when diesel leaves Miami
Both trains will now travel for 4 hrs
given:
For cattle train:
(1) +d+=+s%2A4+
For diesel train:
(2) +d+%2B+14s+=+45%2A4+
-----------
(2) +d+%2B+14s+=+180+
(1) +d+-+4s+=+0%7D%7D%0D%0ASubtract+%281%29+from+%282%29%0D%0A%282%29+%7B%7B%7B+d+%2B+14s+=+180+
(1) +-d+%2B+4s+=+0
18s+=+180
+s+=+10
This is the cattle train's average speed from
the time that the diesel left Miami
Before that The cattle train traveled
10%2A14+=+140 km
(1) d+=+4s
(1) d+=+40 km
The cattle train went 180 km for 14+%2B+4+=+18 hr
s+=+180%2F18+=+10 km/hr
The cattle train's average speed was 10 km/hr